Answer:
equation to find w:
[tex]18u=\frac{w}{2}-4u[/tex]
and the value of the width is:
[tex]w=44u[/tex]
Step-by-step explanation:
Information that we have:
Length: [tex]l=18u[/tex]
"The length of a rectangle is 4 units shorter than half the width"
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Representing the width with [tex]w[/tex], what the last sentence is telling us is the following:
[tex]l=\frac{w}{2} -4u[/tex]
Substituting the value of the length [tex]l=18u[/tex]
[tex]18u=\frac{w}{2}-4u[/tex]
this is the equation we can use to find the width of the rectangle.
And solving for [tex]w[/tex] we get:
[tex]18u+4u=\frac{w}{2}\\ \\22u=\frac{w}{2} \\\\22u*2=w\\44u=w[/tex]